2781966 has 32 divisors (see below), whose sum is σ = 6178176. Its totient is φ = 828000.

The previous prime is 2781959. The next prime is 2781983. The reversal of 2781966 is 6691872.

2781966 = T₂₇₁ + T₂₇₂ + ... + T₃₃₁.

2781966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3681 + ... + 4371.

It is an arithmetic number, because the mean of its divisors is an integer number (193068).

2^2781966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2781966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089088).

2781966 is an abundant number, since it is smaller than the sum of its proper divisors (3396210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2781966 is a wasteful number, since it uses less digits than its factorization.

2781966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768.

The product of its digits is 36288, while the sum is 39.

The square root of 2781966 is about 1667.9226600775. The cubic root of 2781966 is about 140.6427250744.

The spelling of 2781966 in words is "two million, seven hundred eighty-one thousand, nine hundred sixty-six".